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Simplifying 4(x + -2) = 8 + -3(x + -4) Reorder the terms: 4(-2 + x) = 8 + -3(x + -4) (-2 * 4 + x * 4) = 8 + -3(x + -4) (-8 + 4x) = 8 + -3(x + -4) Reorder the terms: -8 + 4x = 8 + -3(-4 + x) -8 + 4x = 8 + (-4 * -3 + x * -3) -8 + 4x = 8 + (12 + -3x) Combine like terms: 8 + 12 = 20 -8 + 4x = 20 + -3x Solving -8 + 4x = 20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 4x + 3x = 20 + -3x + 3x Combine like terms: 4x + 3x = 7x -8 + 7x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 7x = 20 + 0 -8 + 7x = 20 Add '8' to each side of the equation. -8 + 8 + 7x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 20 + 8 7x = 20 + 8 Combine like terms: 20 + 8 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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